What is expand (3sin(x)+cos(x))^2 ?

The solution to expand (3sin(x)+cos(x))^2 is 9sin^2(x)+6cos(x)sin(x)+cos^2(x)

Popular >

expand (3sin(x)+cos(x))^2

expand

(3 sin (x) + cos (x))^{2}

9 sin^{2} (x) + 6 cos (x) sin (x) + cos^{2} (x)

Solution steps

(3 sin (x) + cos (x))^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(3 sin (x) + cos (x))^{2} = (3 sin (x))^{2} + 2 \cdot 3 sin (x) cos (x) + cos^{2} (x)

= (3 sin (x))^{2} + 2 \cdot 3 sin (x) cos (x) + cos^{2} (x)

Simplify

(3 sin (x))^{2} + 2 \cdot 3 sin (x) cos (x) + cos^{2} (x) : 9 sin^{2} (x) + 6 cos (x) sin (x) + cos^{2} (x)

= 9 sin^{2} (x) + 6 cos (x) sin (x) + cos^{2} (x)

(tan (4 x) - tan (x)) \cdot (cos (5 x) + cos (3 x))

\frac{2 x ( x ^{2} - 12 )}{( x ^{2} + 4 ) ^{3}}

(1 + 2 i)^{10}

\frac{n ( n + 1 ) ( 2 n + 1 )}{6}

(x^{2} + 1) (x^{2} + 1)

What is expand (3sin(x)+cos(x))^2 ?
The solution to expand (3sin(x)+cos(x))^2 is 9sin^2(x)+6cos(x)sin(x)+cos^2(x)